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Finding the Fourth Proportional to 106,668.06, 159,948.54 and 35,565.54

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Solution

The fourth proportional to 106,668.06, 159,948.54 and 35,565.54 is: 53,330.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,668.06 : 159,948.54 = 35,565.54 : x
  2. Step 2: Convert to fraction form
    106,668.06/159,948.54 = 35,565.54/x
  3. Step 3: Cross multiply
    106,668.06x = 159,948.54 × 35,565.54
  4. Step 4: Simplify right side
    106,668.06x = 5,688,656,197.31
  5. Step 5: Solve for x
    x = 5,688,656,197.31/106,668.06
  6. Step 6: Final answer
    x = 53,330.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.